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Nina [5.8K]
2 years ago
14

A) Using your equation from step 2d, estimate the GPA of a student who studies for 15 hours a

Mathematics
1 answer:
hram777 [196]2 years ago
6 0

Answer:

The predicted GPA is then y = 0.149(15) + 0.89 = 3.1

Step-by-step explanation:

Although you don't specifically say so, the equation you provide here is probably a "best fit" equation based upon data:  GPA versus the number of hours of study per week.

y = 0.149x + 0.89 and the number of study hours of interest is 15.

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The number of years a radio functions is exponentially distributed with parameter λ = 1 8 . If Jones buys a used radio, what is
blsea [12.9K]

Answer:

P(X>8)=e^{-1}

Step-by-step explanation:

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}, x>0

And 0 for other case. Let X the random variable that represent "The number of years a radio functions" and we know that the distribution is given by:

X \sim Exp(\lambda=\frac{1}{8})

We can assume that the random variable t represent the number of years that the radio is already here. So the interest is find this probability:

P(X>8|X>t)

We have an important property on the exponential distribution called "Memoryless" property and says this:

P(X>a+t| X>t)=P(X>a)

Where a represent a shift and t the time of interest.

On this case then P(X>8|X>t)=P(X>8+t|X>t)=P(X>8)

We can use the definition of the density function and find this probability:

P(X>8)=\int_{8}^{\infty} \frac{1}{8}e^{-\frac{1}{8}x}dx

=\frac{1}{8} \int_{8}^{\infty} e^{-\frac{1}{8}x}dx

=[lim_{x\to\infty} (-e^{-\frac{1}{8}x})+e^{-1}]=0+e^{-1}=e^{-1}

8 0
3 years ago
Solve 1 over 36 = 6x−3.<br><br> x = −5<br> x = negative 3 over 2<br> x = 7 over 2<br> x = 1
vlabodo [156]
6*(-5)-3 = -33
6*(-3/2)-3 = -12
6*(7/2)-3 = 18
6*(1)-3=3
3 0
3 years ago
Read 2 more answers
Teachers drive a mini-van. what percentage of the teachers drive a mini-van? (6.5B*) There are 60 teachers at Smith Middle Schoo
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20 o/o fndjdndbbbbbndndn
5 0
3 years ago
URGENT NEED HELP CLICK TO SEE
Phantasy [73]

Answer:

D

Step-by-step explanation:

Can I have Brainliest? I hope this helped and have a nice day!!!

Work:

64 / 2 = 32

3/4 / 2 = 3/8

3/4 = 6/8

6/8 / 2 = 3/8

Final answer 32 3/8

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3 years ago
Kelly joins Powerhouse Gym. The cost is $30 per month and a one-time $100 joining fee. Lisa joins MegaMuscle Gym for $35 per mon
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In 10 months Lisa will have paid the same amount as Kelly, but in month 11 she will have paid more.
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